2965872 has 120 divisors (see below), whose sum is σ = 9697296. Its totient is φ = 774144.

The previous prime is 2965867. The next prime is 2965877. The reversal of 2965872 is 2785692.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2965867) and next prime (2965877).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (60480) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 2965872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2965877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30528 + ... + 30624.

2^2965872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848648).

2965872 is an abundant number, since it is smaller than the sum of its proper divisors (6731424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2965872 is a wasteful number, since it uses less digits than its factorization.

2965872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2965872 is about 1722.1707232444. The cubic root of 2965872 is about 143.6759689380.

The spelling of 2965872 in words is "two million, nine hundred sixty-five thousand, eight hundred seventy-two".